Online GCD Calculator is useful to find the GCD of 150, 214, 539, 153 quickly. Get the easiest ways to solve the greatest common divisor of 150, 214, 539, 153 i.e 1 in different methods as follows.
Given Input numbers are 150, 214, 539, 153
In the factoring method, we have to find the divisors of all numbers
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
Divisors of 539 :
The positive integer divisors of 539 that completely divides 539 are.
1, 7, 11, 49, 77, 539
Divisors of 153 :
The positive integer divisors of 153 that completely divides 153 are.
1, 3, 9, 17, 51, 153
GCD of numbers is the greatest common divisor
So, the GCD (150, 214, 539, 153) = 1.
Given numbers are 150, 214, 539, 153
The list of prime factors of all numbers are
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 214 are 2 x 107
Prime factors of 539 are 7 x 7 x 11
Prime factors of 153 are 3 x 3 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 150, 214, 539, 153
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(150, 214) = 16050
GCD(150, 214) = ( 150 x 214 ) / 16050
= 150 / 214
= 150
Step2:
LCM(2, 539) = 1078
GCD(2, 539) = ( 2 x 539 ) / 1078
= 2 / 539
= 2
Step3:
LCM(1, 153) = 153
GCD(1, 153) = ( 1 x 153 ) / 153
= 1 / 153
= 1
So, Greatest Common Divisor of 150, 214, 539, 153 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 150, 214, 539, 153
The greatest common divisor of numbers 150, 214, 539, 153 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 214, 539, 153 is 1.
1. What is the GCD of 150, 214, 539, 153?
GCD of given numbers 150, 214, 539, 153 is 1
2. How to calculate the greatest common divisor of 150, 214, 539, 153?
We can find the highest common divisor of 150, 214, 539, 153 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 150, 214, 539, 153 i.e 1.
3. How can I use the GCD of 150, 214, 539, 153Calculator?
Out the numbers 150, 214, 539, 153 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.